Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656r |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-85769273592576 = -1 · 28 · 38 · 73 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8783,-316259] |
[a1,a2,a3,a4,a6] |
Generators |
[964:30051:1] |
Generators of the group modulo torsion |
j |
853235323904/976781997 |
j-invariant |
L |
4.3154622878638 |
L(r)(E,1)/r! |
Ω |
0.32632644542765 |
Real period |
R |
1.1020310151143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998167156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328bs1 124656bn1 |
Quadratic twists by: -4 -7 |